On a General Probabilistic Representation Formula for Semigroups of Operators
Received:February 18, 1982  
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Author NameAffiliation
D.Pfeifer Dietmar PfeiferInstitut für Statistik und Wirtschaftsmathematik Rheinisch-westf?lische Technische Hochschule Aachen Wüllnerstr. 3 D 5100 Aachen West Germany 
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Abstract:
      In this paper we present a general probabilistic representation theorem for semigroups of operators which essentially comprises almost all known representation theorems of this kind. Especially, so-called first and second main theorems turn out to be special cases of the same general formula. The general theorem also permits the calculation of rates of convergence involving the second modulus of continuity.
Citation:
DOI:10.3770/j.issn:1000-341X.1982.04.014
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